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I am looking to learn about how one can use group theory methods to obtain the spectrum of a hydrogenic atom algebraically. I have found many such resources online, such as this paper: http://web.mit.edu/lululiu/Public/8.06/paper.pdf

However, most assume more working knowledge of group theory/Lie algebra than I have. Could anyone provide me with a reference to a textbook or paper/article which derives this result without assuming too much background knowledge? I'm looking for something pedagogic.

Qmechanic
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dsfkgjn
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1 Answers1

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If you want to learn about both Lie groups and how to solve the Hydrogen atom using those, I would recommend "Lie groups, physics, and geometry" by Gilmore.

It is well written, with physics and engineering students in mind, with lots of examples on simple cases. The first six or seven chapters are very nice (then it can go too deep into classification to my taste).

Chapter 14 is all about solving the Hydrogen atom using what was developed in the previous chapters.

Adam
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